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A theory of search with deadlines and uncertain recall

  • S. Nuray Akin

    (Department of Economics, University of Miami)

  • Brennan Platt

    (Department of Economics, Brigham Young University)

We analyze an equilibrium search model where buyers seek to purchase a good before a deadline and face uncertainty regarding the availability of past price quotes in the future. Sellers cannot observe a potential buyer's remaining time until deadline nor his quote history, and hence post prices that weigh the probability of sale versus the profit once sold. The model's equilibrium can take one of three forms. In a late equilibrium, buyers initially forgo purchases, preferring to wait until the deadline. In an early equilibrium, any equilibrium offer is accepted as soon as it is received. In a full equilibrium, higher prices are turned down until near the deadline, while lower prices are immediately accepted. Equilibrium price and sales dynamics are determined by the time remaining until the deadline and the quote history of the consumer.

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File URL: http://bus.miami.edu/_assets/files/WP2012-03.pdf
File Function: First version, 2012
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Paper provided by University of Miami, Department of Economics in its series Working Papers with number 2012-3.

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Length: 40 pages
Date of creation: 12 Jan 2012
Date of revision:
Publication status: Forthcoming: Under Review
Handle: RePEc:mia:wpaper:2012-3
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Web page: http://www.bus.miami.edu/faculty-and-research/academic-departments/economics/index.html
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  1. Larson, Nathan, 2008. "Niche products, generic products, and consumer search," MPRA Paper 32161, University Library of Munich, Germany, revised 2011.
  2. Karni, Edi & Schwartz, Aba, 1977. "Search theory: The case of search with uncertain recall," Journal of Economic Theory, Elsevier, vol. 16(1), pages 38-52, October.
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  5. Rhodes, Andrew, 2011. "Multiproduct pricing and the Diamond Paradox," MPRA Paper 32511, University Library of Munich, Germany.
  6. Andrew F. Daughety & Jennifer F. Reinganum, 1992. "Search Equilibrium with Endogenous Recall," RAND Journal of Economics, The RAND Corporation, vol. 23(2), pages 184-202, Summer.
  7. Andrzej Skrzypacz & William Fuchs, 2009. "Bargaining with Deadlines," 2009 Meeting Papers 159, Society for Economic Dynamics.
  8. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July.
  9. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
  10. Rob, Rafael, 1985. "Equilibrium Price Distributions," Review of Economic Studies, Wiley Blackwell, vol. 52(3), pages 487-504, July.
  11. Stahl, Dale O, II, 1989. "Oligopolistic Pricing with Sequential Consumer Search," American Economic Review, American Economic Association, vol. 79(4), pages 700-712, September.
  12. Adam Copeland & Wendy Dunn & George Hall, 2011. "Inventories and the automobile market," RAND Journal of Economics, RAND Corporation, vol. 42(1), pages 121-149, 03.
  13. Landsberger, Michael & Peled, Dan, 1977. "Duration of offers, price structure, and the gain from search," Journal of Economic Theory, Elsevier, vol. 16(1), pages 17-37, October.
  14. Armstrong, Mark & Zhou, Jidong, 2010. "Conditioning prices on search behaviour," MPRA Paper 19985, University Library of Munich, Germany.
  15. Wilde, Louis L & Schwartz, Alan, 1979. "Equilibrium Comparison Shopping," Review of Economic Studies, Wiley Blackwell, vol. 46(3), pages 543-53, July.
  16. Glenn Ellison & Alexander Wolitzky, 2012. "A search cost model of obfuscation," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 417-441, 09.
  17. S. Nuray Akin & Brennan C. Platt, 2011. "Searching on a Deadline," Working Papers 2011-11, University of Miami, Department of Economics.
  18. James Albrecht & Axel Anderson & Eric Smith & Susan Vroman, 2007. "Opportunistic Matching In The Housing Market," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(2), pages 641-664, 05.
  19. Ching-to Albert Ma & Michael Manove, 1991. "Bargaining with Deadlines and Imperfect Player Control," Papers 0007, Boston University - Industry Studies Programme.
  20. Serife Nuray Akin & Matthew Butler & Brennan C. Platt, 2013. "Accounting for age in marital search decisions," Working Papers 2013-01, University of Miami, Department of Economics.
  21. S. Nuray Akin & Brennan Platt, 2012. "Running Out of Time: Limited Unemployment Benefits and Reservation Wages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 149-170, April.
  22. Sobel, Joel & Takahashi, Ichiro, 1983. "A Multistage Model of Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 50(3), pages 411-26, July.
  23. Maarten C.W. Janssen & Alexei Parakhonyak, 2011. "Consumer Search Markets with Costly Second Visits," Vienna Economics Papers 1102, University of Vienna, Department of Economics.
  24. Lee Sang-Yong T. & Png Ivan P.L., 2004. "Buyer Shopping Costs and Retail Pricing: An Indirect Empirical Test," Review of Marketing Science, De Gruyter, vol. 2(1), pages 1-22, July.
  25. Maarten Janssen & Alexei Parakhonyak, 2014. "Consumer search markets with costly revisits," Economic Theory, Springer, vol. 55(2), pages 481-514, February.
  26. Glenn Ellison & Sara Fisher Ellison, 2004. "Search, Obfuscation, and Price Elasticities on the Internet," NBER Working Papers 10570, National Bureau of Economic Research, Inc.
  27. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-73, May.
  28. Butters, Gerard R, 1977. "Equilibrium Distributions of Sales and Advertising Prices," Review of Economic Studies, Wiley Blackwell, vol. 44(3), pages 465-91, October.
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